Answer
Estimate: 50 - 47 = 3 Inch
Exact: $3\frac{3}{8}$ inch
Work Step by Step
Difference in height = This yr height - last year height
= 50 inch - $46\frac{5}{8}$ inch
First Let's find estimate:
$46\frac{5}{8}$ round to 47 (rounded to nearest whole number)
Estimate: 50 - 47 = 3 Inch
Now, Let's find Exact:
= 50 inch - $46\frac{5}{8}$ inch
= 50 inch - $\frac{46\times8+5}{8}$ inch
= 50 inch - $\frac{373}{8}$ inch
= $\frac{50\times8}{8} - \frac{373}{8}$ inch (LCM of 1 & 8 is 8)
= $\frac{400}{8} - \frac{373}{8}$ inch
= $\frac{400-373}{8}$ inch
= $\frac{27}{8}$ inch
= $3\frac{3}{8}$ inch